A googol is the number 1 followed by 100 zeros. Earth's mass is 5. 972 × 10^24 kilograms. How many Earths
are needed to have a total mass of 1 googol kilograms? Write your answer in scientific notation with the coefficient
rounded to 2 decimal places.

Respuesta :

The number of Earths needed have a total mass of 1 googol kilograms is 1.67 x [tex]10^{75}[/tex].

How many Earths is needed?

Scientific notation is used to compress large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.For example: 1 x 10² is equivalent to 100

A googol in scientific notation is 1 x [tex]10^{100}[/tex]

The number of Earths needed have a total mass of 1 googol kilograms =

(1 x [tex]10^{100}[/tex])  ÷ (5.972 ×[tex]10^{24}[/tex])

(1 ÷ 5.972) x ([tex]10^{100 - 24}[/tex])

0.16745 x [tex]10^{76}[/tex]

= 1.67 x [tex]10^{75}[/tex]

To learn more about scientific notation, please check: https://brainly.com/question/25334755

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